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| Content Provider | ACM Digital Library |
|---|---|
| Author | Harks, Tobias Falkenhausen, Philipp Von |
| Copyright Year | 2016 |
| Description | Author Affiliation: University of Augsburg, Germany(Technical university berlin (falkenhausen, Philipp Von; Harks, Tobias)) |
| Abstract | We introduce a quantitative approach to comparative statics that allows to bound the maximum effect of an exogenous parameter change on a system’s equilibrium. The motivation for this approach is a well-known paradox in multimarket Cournot competition, where a positive price shock on a monopoly market may actually reduce the monopolist’s profit. We use our approach to quantify for the first time the worst-case profit reduction for multimarket oligopolies exposed to arbitrary positive price shocks. For markets with affine price functions and firms with convex cost technologies, we show that the relative profit loss of $\textit{any}$ firm is at most 25%, no matter how many firms compete in the oligopoly. We further investigate the impact of positive price shocks on total profit of all firms as well as on social welfare. We find tight bounds also for these measures showing that total profit and social welfare decreases by at most 25% and 16.6%, respectively. Finally, we show that in our model, mixed, correlated, and coarse correlated equilibria are essentially unique, thus, all our bounds apply to these game solutions, as well. |
| Starting Page | 1 |
| Ending Page | 22 |
| Page Count | 22 |
| File Format | |
| ISSN | 21678375 |
| e-ISSN | 21678383 |
| DOI | 10.1145/2956580 |
| Volume Number | 5 |
| Issue Number | 1 |
| Journal | ACM Transactions on Economics and Computation (TEAC) |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2016-10-10 |
| Publisher Place | New York |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Multimarket Cournot competition Efficiency loss Price shocks |
| Content Type | Text |
| Resource Type | Article |
| Subject | Economics and Econometrics Marketing Computational Mathematics Statistics and Probability Computer Science |
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